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1012120102220 = 225294789417173
BaseRepresentation
bin11101011101001110000…
…11110010010101001100
310120202110101112102002212
432232213003302111030
5113040310221232340
62052543410205552
7133060164631013
oct16564703622514
93522411472085
101012120102220
113602684590a7
121441a4b838b8
137459a291966
1436db5da9a7a
151b4da80ca65
hexeba70f254c

1012120102220 has 96 divisors (see below), whose sum is σ = 2270761516800. Its totient is φ = 378271545344.

The previous prime is 1012120102199. The next prime is 1012120102223. The reversal of 1012120102220 is 222010212101.

It is a super-3 number, since 3×10121201022203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012120102195 and 1012120102204.

It is not an unprimeable number, because it can be changed into a prime (1012120102223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217554 + ... + 2634726.

It is an arithmetic number, because the mean of its divisors is an integer number (23653765800).

Almost surely, 21012120102220 is an apocalyptic number.

1012120102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012120102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135380758400).

1012120102220 is an abundant number, since it is smaller than the sum of its proper divisors (1258641414580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012120102220 is a wasteful number, since it uses less digits than its factorization.

1012120102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417347 (or 417345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012120102220 its reverse (222010212101), we get a palindrome (1234130314321).

The spelling of 1012120102220 in words is "one trillion, twelve billion, one hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 47 58 89 94 116 145 178 188 235 290 356 445 470 580 890 940 1363 1780 2581 2726 4183 5162 5452 6815 8366 10324 12905 13630 16732 20915 25810 27260 41830 51620 83660 121307 242614 417173 485228 606535 834346 1213070 1668692 2085865 2426140 4171730 8343460 12098017 19607131 24196034 37128397 39214262 48392068 60490085 74256794 78428524 98035655 120980170 148513588 185641985 196071310 241960340 371283970 392142620 568606799 742567940 1076723513 1137213598 1745034659 2153447026 2274427196 2843033995 3490069318 4306894052 5383617565 5686067990 6980138636 8725173295 10767235130 11372135980 17450346590 21534470260 34900693180 50606005111 101212010222 202424020444 253030025555 506060051110 1012120102220